A combinatorial theorem in group theory
A combinatorial theorem in group theory
There is an anti-Ramsey theorem for inhomogeneous linear equations over a field, which is essentially due to R. Rado [2]. This theorem is generalized to groups to get sharper quantitative and qualitative results. For example, it is shown that for any Abelian group <italic>A</italic> (written additively) and any mappings <inline-formula …